Falling Balls 1 Falling Balls 2 Observations about Falling Balls When you drop a ball, it Falling Balls begins at rest, soon acquires a considerable downward speed, and covers more and more distance each second When you tossed a ball straight up, it rises to a certain height, comes momentarily to a stop, and then descends, much like a dropped ball A thrown ball travels in an arc Turn off all electronic devices Falling Balls 3 Falling Balls 4 6 Questions about Falling Balls 1. 2. 3. 4. 5. 6. Why does a dropped ball fall downward? How differently do different balls fall? How would a ball fall on the moon? How does a falling ball move after it is dropped? How can a ball move upward and still be falling? How does a ball's horizontal motion affect its fall? Falling Balls 5 Question 1 Q: Why does a dropped ball fall downward? A: The ball’s downward weight causes it to accelerate downward Earth’s gravity exerts a downward force on the ball That force on the ball due to Earth’s gravity is called the ball’s weight The ball’s weight points toward earth’s center (it defines downward) A falling ball experiences only one force: its weight A falling ball’s weight causes it to accelerate downward Falling Balls 6 Question 2 Q: How differently do different balls fall? A: Not differently. They all fall together! A ball’s weight is proportional to its mass If you divided a ball’s weight by its mass, you always get the same value: Near Earth’s surface, every kilogram of mass weighs 9.8 newtons! Acceleration Due to Gravity According to Newton’s second law, The only force acting on a falling ball is its weight, That ratio is the acceleration of any falling object near Earth’s surface! It is called the acceleration due to gravity 1 Falling Balls 7 Falling Balls 8 Question 3 Question 4 Q: How would a ball fall on the moon? A: It would fall more slowly. Q: How does a falling ball move after it is dropped? A: It accelerates downward, covering more distance each second Gravity depends on mass of planet/moon and distance from its center A falling ball experiences only its weight Moon’s mass is small, but its radius is also small, so Its acceleration is constant and downward Its velocity increases in the downward direction When dropped from rest, Earth’s gravity actually varies slightly with location You weigh slightly less at the Equator than at the North or South Pole You weigh very slightly less on a mountaintop than in a valley Falling Balls 9 the ball’s velocity starts at zero and increases in the downward direction the ball’s altitude decreases at an ever faster rate Falling Balls 10 Question 5 Question 6 Q: How can a ball move upward and still be falling? A: It may be moving upward, but it is still accelerating downward! Q: How does a ball's horizontal motion affect its fall? A: It doesn’t. The ball falls vertically, but coasts horizontally. A falling ball accelerates downward, but its initial velocity can be anything, even upward! When thrown upward, Ball’s acceleration is purely vertical (downward) It falls vertically It coasts horizontally Its path is a parabolic arc ball’s velocity starts upward but increases downward ball’s altitude increases at an ever slower rate until… velocity is momentarily zero and then ball falls downward… Falling Balls 11 Summary About Falling Balls Without gravity, an isolated ball would coast With gravity, an isolated ball experiences its weight, accelerates downward, and its velocity becomes increasingly downward Whether going up or down, it’s still falling It can coast horizontally while falling vertically 2